Lock a custom requester field

Lock a custom requester field

I have a field that I have created within the requester's profile. I'd like the requester to be able to view the data, but not be able to edit it.

I currently have 'Customers are allowed to:' set to the following:
      Edit their profile - disabled
      View their profile - enabled

Is it possible to make a custom field non-editable by the requester?

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